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Finding the Fourth Proportional to 366.60, 505.56 and 283.57

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Solution

The fourth proportional to 366.60, 505.56 and 283.57 is: 391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 505.56 = 283.57 : x
  2. Step 2: Convert to fraction form
    366.60/505.56 = 283.57/x
  3. Step 3: Cross multiply
    366.60x = 505.56 × 283.57
  4. Step 4: Simplify right side
    366.60x = 143,361.65
  5. Step 5: Solve for x
    x = 143,361.65/366.60
  6. Step 6: Final answer
    x = 391.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.